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Finding the Third Proportional to 533,210 and 1,169,746

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Solution

The third proportional to 533,210 and 1,169,746 is: 2,566,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,210 : 1,169,746 = 1,169,746 : x
  2. Step 2: Convert to fraction form
    533,210/1,169,746 = 1,169,746/x
  3. Step 3: Cross multiply
    533,210x = 1,169,746 × 1,169,746
  4. Step 4: Simplify right side
    533,210x = 1,368,305,704,516
  5. Step 5: Solve for x
    x = 1,368,305,704,516/533,210
  6. Step 6: Final answer
    x = 2,566,166.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.